10137892513 has 8 divisors (see below), whose sum is σ = 11694445632. Its totient is φ = 8608410096.

The previous prime is 10137892493. The next prime is 10137892547. The reversal of 10137892513 is 31529873101.

10137892513 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 10137892513 - 2⁹ = 10137892001 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (10137892553) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 6766870 + ... + 6768367.

It is an arithmetic number, because the mean of its divisors is an integer number (1461805704).

Almost surely, 2^10137892513 is an apocalyptic number.

It is an amenable number.

10137892513 is a deficient number, since it is larger than the sum of its proper divisors (1556553119).

10137892513 is a wasteful number, since it uses less digits than its factorization.

10137892513 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13535351.

The product of its (nonzero) digits is 45360, while the sum is 40.

The spelling of 10137892513 in words is "ten billion, one hundred thirty-seven million, eight hundred ninety-two thousand, five hundred thirteen".